Statement of a problem № 11337


Insects do not have lungs as we do, nor do they breathe through their mouths. Instead, they have a system of tiny tubes, called tracheae, through which oxygen diff uses into their bodies. The tracheae begin at the surface of an insect s body and penetrate into the interior. Suppose that a trachea is 1.9 mm long with a cross-sectional area of 2.1 × 1029 m2. The concentration of oxygen in the air outside the insect is 0.28 kg/m3, and the diffusion constant is 1.1 × 10-5 m2/s. If the mass per second of oxygen diff using through a trachea is 1.7 × 10-12 kg/s, find the oxygen concentration at the interior end of the tube.

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